f''(x)=cos(x), f'(pi/2)=7 and f(pi/2)=3

f''(x)=cos(x), f'(pi/2)=7 and f(pi/2)=3

Given that f(10)=5, f′(10)=1, g(5)=3, and g′(5)=9, what is the approximate value of g(f(10.01))? Help!?

If an airplane is moving at velocity v, the drag D (in N ) on the plane is D=av2+b/v2 , where a=5.40*10-3 and b=3.08*108 . Find the value(s) of v(in km/h), for which the drag is the least...

A rectangular piece of cardboard, 100cm by 40cm, is going to be used to make a rectangular box with an open top by cutting congruent squares from the corners. Calculate the dimensions (to one decimal...

Assume that the total revenue received from the sale of x items is given by, R(x) = 30 ln (3x + 2), while the total cost to produce x items is C(x) = x/4. Find the approximate number of items...

A long level highway bridge passes over a railroad track that is 100 feet below it and at right angles to it. If an automobile traveling 45mph (66ft/s) is directly above a train engine going 60mph...

For a particular commodity, the demand function is q=110,000/p....Find the elasticity when p=8

Suppose for a particular commodity, e=0.67 and that currently 10,000 units are selling for $6 each. How does a 1% increase in price affect the revenue?

The volume of a spherical balloon is increasing at a rate of 2 cm3/s. What is the rate at which the diameter of the balloon is increasing when the diameter is 10 cm?

We give the cost C of producing x units of a particular commodity and the selling price p when x units are produced. Determine the level of production that maximizes profit. C(x) =2/5...

a.) If a farmer plants x units of wheat in his field 0 ≤ x ≤ 196, the yield will be 14x-x^2/14 How much wheat should he plant for the maximum yield? b.) In the problem...

Need help really struggling on how to do this

Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and...

A curve C is given by the equation: x2 + y2 = (2x2 + 2y2 − x)2 (a) Find all points (0, y) on the curve C, where y≠0. (b) At each of the points found...

Find the exact area under y = 6te-t for 0 <= t <= 4. (The answer is NOT 5.4505. I've gotten that twice, and it keeps getting marked...

help me solve this

I need help with my college calculus/business calc homework. Here are the questions. 1. Draw the graph of the following function f defined on the real line...

(a) was government consumption increasing or decreasing during this period? (b) determine whether the graph of the government consumption function is concave up or concave down and explain what...

A street lamp 20' high creates a shadow of an owl. The owl is descending to a mouse vertically below. When the stationary mouse is 10' from the foot of the lamp, the owl is 15' vertically above and...

It also says to write two equations that can be used to graph the conic section on a graphing calculator. Conic sections are a bit confusing to me, and I also am confused as to how there are...